diff --git a/pokedex/tests/test_schema.py b/pokedex/tests/test_schema.py
index 0a17dc4..196c368 100644
--- a/pokedex/tests/test_schema.py
+++ b/pokedex/tests/test_schema.py
@@ -197,9 +197,11 @@ def test_texts(cls):
             pytest.fail("%s: description mentions English" % column)
     # If there's more than one text column in a translation table,
     # they have to be nullable, to support missing translations
+    # Exception: the 'name' column may be required, if none of the other
+    # columns make sense without it
     if hasattr(cls, 'local_language') and len(text_columns) > 1:
         for column in text_columns:
-            assert column.nullable
+            assert column.nullable or column.name == 'name'
 
 @parametrize('table', tables.mapped_classes)
 def test_identifiers_with_names(table):